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Finding the Third Proportional to 23,674 and 50,933

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Solution

The third proportional to 23,674 and 50,933 is: 109,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674 : 50,933 = 50,933 : x
  2. Step 2: Convert to fraction form
    23,674/50,933 = 50,933/x
  3. Step 3: Cross multiply
    23,674x = 50,933 × 50,933
  4. Step 4: Simplify right side
    23,674x = 2,594,170,489
  5. Step 5: Solve for x
    x = 2,594,170,489/23,674
  6. Step 6: Final answer
    x = 109,578.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.